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Finding the Fourth Proportional to 12,193.48, 16,820.82 and 7,709.68

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Solution

The fourth proportional to 12,193.48, 16,820.82 and 7,709.68 is: 10,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.48 : 16,820.82 = 7,709.68 : x
  2. Step 2: Convert to fraction form
    12,193.48/16,820.82 = 7,709.68/x
  3. Step 3: Cross multiply
    12,193.48x = 16,820.82 × 7,709.68
  4. Step 4: Simplify right side
    12,193.48x = 129,683,139.54
  5. Step 5: Solve for x
    x = 129,683,139.54/12,193.48
  6. Step 6: Final answer
    x = 10,635.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.